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Gagliardo-Nirenberg-Sobolev inequalities for convex domains in \(\mathbb{R}^d\)

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Publication:2278868
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DOI10.4310/MRL.2019.v26.n5.a3zbMath1437.26024arXiv1802.01740MaRDI QIDQ2278868

Rafael D. Benguria, Cristobal Vallejos, Hanne van den Bosch

Publication date: 11 December 2019

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.01740


zbMATH Keywords

convex domainoptimal constantGagliardo-Nirenberg-Sobolev inequality


Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) NLS equations (nonlinear Schrödinger equations) (35Q55) Inequalities for sums, series and integrals (26D15)


Related Items (5)

Exponential synchronization of memristive Hindmarsh-Rose neural networks ⋮ Synchronization of memristive FitzHugh-Nagumo neural networks ⋮ Existence and non-existence of minimizers for Poincaré-Sobolev inequalities ⋮ The Lieb-Thirring inequality for interacting systems in strong-coupling limit ⋮ A note on the Gagliardo-Nirenberg inequality in a bounded domain







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